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81
CAT 2022 Set-2 | Quantitative Aptitude | Question: 2
Mr. Pinto invests one-fifth of his capital at $6 \%$, one-third at $10 \%$ and the remaining at $1 \%$, each rate being simple interest per annum. Then, the minimum number of years required for the cumulative interest income from these investments to equal or exceed his initial capital is
Mr. Pinto invests one-fifth of his capital at $6 \%$, one-third at $10 \%$ and the remaining at $1 \%$, each rate being simple interest per annum. Then, the minimum numbe...
admin
3.7k
points
351
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 3
Regular polygons $\mathrm{A}$ and $\mathrm{B}$ have number of sides in the ratio $1: 2$ and interior angles in the ratio $3: 4$. Then the number of sides of $\mathrm{B}$ equals
Regular polygons $\mathrm{A}$ and $\mathrm{B}$ have number of sides in the ratio $1: 2$ and interior angles in the ratio $3: 4$. Then the number of sides of $\mathrm{B}$ ...
admin
3.7k
points
235
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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83
CAT 2022 Set-2 | Quantitative Aptitude | Question: 4
The number of distinct integer values of $n$ satisfying $\frac{4-\log 2 n}{3-\log _{4} n}<0$, is
The number of distinct integer values of $n$ satisfying $\frac{4-\log 2 n}{3-\log _{4} n}<0$, is
admin
3.7k
points
314
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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84
CAT 2022 Set-2 | Quantitative Aptitude | Question: 5
The average of a non-decreasing sequence of $\mathrm{N}$ numbers $a_{1}, a_{2}, \ldots \ldots, a_{N}$ is $300$ . If $a_{1}$ is replaced by $6 a_{1}$, the new average becomes $400$ . Then, the number of possible values of $a_{1}$ is
The average of a non-decreasing sequence of $\mathrm{N}$ numbers $a_{1}, a_{2}, \ldots \ldots, a_{N}$ is $300$ . If $a_{1}$ is replaced by $6 a_{1}$, the new average beco...
admin
3.7k
points
364
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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85
CAT 2022 Set-2 | Quantitative Aptitude | Question: 6
If $a$ and $b$ are non-negative real numbers such that $a+2 b=6$, then the average of the maximum and minimum possible values of $(a+b)$ is $3.5$ $4.5$ $3$ $4$
If $a$ and $b$ are non-negative real numbers such that $a+2 b=6$, then the average of the maximum and minimum possible values of $(a+b)$ is$3.5$$4.5$$3$$4$
admin
3.7k
points
330
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admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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86
CAT 2022 Set-2 | Quantitative Aptitude | Question: 7
The length of each side of an equilateral triangle $\mathrm{A B C}$ is $3 \mathrm{~cm}$. Let $\mathrm{D}$ be a point on $\mathrm{B C}$ such that the area of triangle $\mathrm{A D C}$ is half the area of triangle $\mathrm{A B D}$. Then the length of $\mathrm{A D}$, in $\mathrm{cm}$, is $\sqrt{7}$ $\sqrt{6}$ $\sqrt{8}$ $\sqrt{5}$
The length of each side of an equilateral triangle $\mathrm{A B C}$ is $3 \mathrm{~cm}$. Let $\mathrm{D}$ be a point on $\mathrm{B C}$ such that the area of triangle $\ma...
admin
3.7k
points
379
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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87
CAT 2022 Set-2 | Quantitative Aptitude | Question: 8
The number of integers greater than $2000$ that can be formed with the digits $0,1,2,3,4,5$, using each digit at most once, is $1480$ $1440$ $1200$ $1420$
The number of integers greater than $2000$ that can be formed with the digits $0,1,2,3,4,5$, using each digit at most once, is$1480$$1440$$1200$$1420$
admin
3.7k
points
262
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admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 9
Let $f(x)$ be a quadratic polynomial in $x$ such that $f(x) \geq 0$ for all real numbers $x$. If $f(2)=0$ and $f(4)=6$, then $f(-2)$ is equal to $36$ $12$ $24$ $6$
Let $f(x)$ be a quadratic polynomial in $x$ such that $f(x) \geq 0$ for all real numbers $x$. If $f(2)=0$ and $f(4)=6$, then $f(-2)$ is equal to$36$$12$$24$$6$
admin
3.7k
points
278
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admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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89
CAT 2022 Set-2 | Quantitative Aptitude | Question: 10
Manu earns ₹$4000$ per month and wants to save an average of ₹$550$ per month in a year. In the first nine months, his monthly expense was ₹$3500$, and he foresees that, tenth month onward, his monthly expense will increase to ... savings target, his monthly earnings, in rupees, from the tenth month onward should be $4350$ $4400$ $4300$ $4200$
Manu earns ₹$4000$ per month and wants to save an average of ₹$550$ per month in a year. In the first nine months, his monthly expense was ₹$3500$, and he foresees ...
admin
3.7k
points
302
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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90
CAT 2022 Set-2 | Quantitative Aptitude | Question: 11
In an election, there were four candidates and $80 \%$ of the registered voters casted their votes. One of the candidates received $30 \%$ of the casted votes while the other three candidates received the remaining casted votes ... candidate with the second highest votes, then the number of registered voters was $62800$ $50240$ $40192$ $60288$
In an election, there were four candidates and $80 \%$ of the registered voters casted their votes. One of the candidates received $30 \%$ of the casted votes while the o...
admin
3.7k
points
267
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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91
CAT 2022 Set-2 | Quantitative Aptitude | Question: 12
On day one, there are $100$ particles in a laboratory experiment. On day $n$, where $n \geq 2$, one out of every $n$ particles produces another particle. If the total number of particles in the laboratory experiment increases to $1000$ on day $\mathrm{m}$, then $\mathrm{m}$ equals $19$ $17$ $16$ $18$
On day one, there are $100$ particles in a laboratory experiment. On day $n$, where $n \geq 2$, one out of every $n$ particles produces another particle. If the total num...
admin
3.7k
points
310
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 13
There are two containers of the same volume, first container half-filled with sugar syrup and the second container half-filled with milk. Half the content of the first container is transferred to the second container, and then the half of this mixture is transferred ... sugar syrup and milk in the second container is $6: 5$ $5: 6$ $4: 5$ $5: 4$
There are two containers of the same volume, first container half-filled with sugar syrup and the second container half-filled with milk. Half the content of the first co...
admin
3.7k
points
292
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admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 14
Five students, including Amit, appear for an examination in which possible marks are integers between $0$ and $50$ , both inclusive. The average marks for all the students is $38$ and exactly three students got more than $32$. If no ... students, then the difference between the highest and lowest possible marks of Amit is $22$ $20$ $21$ $24$
Five students, including Amit, appear for an examination in which possible marks are integers between $0$ and $50$ , both inclusive. The average marks for all the student...
admin
3.7k
points
364
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 15
Two ships meet mid-ocean, and then, one ship goes south and the other ship goes west, both travelling at constant speeds. Two hours later, they are $60 \mathrm{~km}$ apart. If the speed of one of the ships is $6 \mathrm{~km}$ per hour more than the other one, then the speed, in km per hour, of the slower ship is $24$ $18$ $20$ $12$
Two ships meet mid-ocean, and then, one ship goes south and the other ship goes west, both travelling at constant speeds. Two hours later, they are $60 \mathrm{~km}$ apar...
admin
3.7k
points
576
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admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 16
For some natural number $n$, assume that $(15,000) !$ is divisible by $(n !) !$. The largest possible value of $n$ is $5$ $4$ $6$ $7$
For some natural number $n$, assume that $(15,000) !$ is divisible by $(n !) !$. The largest possible value of $n$ is$5$$4$$6$$7$
admin
3.7k
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282
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admin
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Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 17
Suppose for all integers $x$, there are two functions $f$ and $g$ such that $f(x)+$ $f(x-1)-1=0$ and $g(x)=x^{2}$. If $f\left(x^{2}-x\right)=5$, then the value of the sum $f(g(5))+g(f(5))$ is
Suppose for all integers $x$, there are two functions $f$ and $g$ such that $f(x)+$ $f(x-1)-1=0$ and $g(x)=x^{2}$. If $f\left(x^{2}-x\right)=5$, then the value of the sum...
admin
3.7k
points
197
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admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 18
In triangle $\mathrm{A B C}$, altitudes $\mathrm{A D}$ and $\mathrm{B E}$ are drawn to the corresponding bases. If $\angle \mathrm{B A C}=45^{\circ}$ and $\angle \mathrm{A B C}=\theta$, then $\frac{A D}{B E}$ equals $\sqrt{2} \cos \theta$ $1$ $\sqrt{2} \sin \theta$ $\frac{(\sin +\cos )}{\sqrt{2}}$
In triangle $\mathrm{A B C}$, altitudes $\mathrm{A D}$ and $\mathrm{B E}$ are drawn to the corresponding bases. If $\angle \mathrm{B A C}=45^{\circ}$ and $\angle \mathrm{...
admin
3.7k
points
220
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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98
CAT 2022 Set-2 | Quantitative Aptitude | Question: 19
The number of integer solutions of the equation $\left(x^{2}-10\right)^{\left(x^{2}-3 x-10\right)}=1$ is
The number of integer solutions of the equation $\left(x^{2}-10\right)^{\left(x^{2}-3 x-10\right)}=1$ is
admin
3.7k
points
239
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admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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99
CAT 2022 Set-2 | Quantitative Aptitude | Question: 20
Let $r$ and $c$ be real numbers. If $r$ and $-r$ are roots of $5 x^{3}+c x^{2}-10 x+9=0$, then $c$ equals $4$ $-4$ $-\frac{9}{2}$ $\frac{9}{2}$
Let $r$ and $c$ be real numbers. If $r$ and $-r$ are roots of $5 x^{3}+c x^{2}-10 x+9=0$, then $c$ equals$4$$-4$$-\frac{9}{2}$$\frac{9}{2}$
admin
3.7k
points
245
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admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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100
CAT 2022 Set-2 | Quantitative Aptitude | Question: 21
Consider the arithmetic progression $3,7,11, \ldots$ and let $A_{n}$ denote the sum of the first $\mathrm{n}$ terms of this progression. Then the value of $1^{25}, A$ is $442$ $404$ $455$ $415$
Consider the arithmetic progression $3,7,11, \ldots$ and let $A_{n}$ denote the sum of the first $\mathrm{n}$ terms of this progression. Then the value of $1^{25}, A$ is$...
admin
3.7k
points
210
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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101
CAT 2022 Set-2 | Quantitative Aptitude | Question: 22
In an examination, there were $75$ questions. $3$ marks were awarded for each correct answer, $1$ mark was deducted for each wrong answer and $1$ mark was awarded for each unattempted question. Rayan scored a total ... the number of attempted questions, then the maximum number of correct answers that Rayan could have given in the examination is
In an examination, there were $75$ questions. $3$ marks were awarded for each correct answer, $1$ mark was deducted for each wrong answer and $1$ mark was awarded for eac...
admin
3.7k
points
295
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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102
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 1
Comprehension: A few salesmen are employed to sell a product called TRICCEK among households in various housing complexes. On each day, a salesman is assigned to visit on...
admin
3.7k
points
348
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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103
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 2
Comprehension: A few salesmen are employed to sell a product called TRICCEK among households in various housing complexes. On each day, a salesman is assigned to visit on...
admin
3.7k
points
205
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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104
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 3
Comprehension: A few salesmen are employed to sell a product called TRICCEK among households in various housing complexes. On each day, a salesman is assigned to visit on...
admin
3.7k
points
232
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admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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105
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 4
Comprehension: A few salesmen are employed to sell a product called TRICCEK among households in various housing complexes. On each day, a salesman is assigned to visit on...
admin
3.7k
points
222
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admin
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Feb 2, 2023
Logical Reasoning
cat2022-set2
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106
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 5
Comprehension: A few salesmen are employed to sell a product called TRICCEK among households in various housing complexes. On each day, a salesman is assigned to visit on...
admin
3.7k
points
231
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admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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107
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 6
Comprehension:Every day a widget supplier supplies widgets from the warehouse (W) to four locations - Ahmednagar (A), Bikrampore (B), Chitrachak (C), and Deccan Park (D)....
admin
3.7k
points
259
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admin
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Feb 2, 2023
Logical Reasoning
cat2022-set2
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108
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 7
Comprehension:Every day a widget supplier supplies widgets from the warehouse (W) to four locations - Ahmednagar (A), Bikrampore (B), Chitrachak (C), and Deccan Park (D)....
admin
3.7k
points
286
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admin
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Feb 2, 2023
Logical Reasoning
cat2022-set2
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109
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 8
Comprehension:Every day a widget supplier supplies widgets from the warehouse (W) to four locations - Ahmednagar (A), Bikrampore (B), Chitrachak (C), and Deccan Park (D)....
admin
3.7k
points
247
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admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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110
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 9
Comprehension:Every day a widget supplier supplies widgets from the warehouse (W) to four locations - Ahmednagar (A), Bikrampore (B), Chitrachak (C), and Deccan Park (D)....
admin
3.7k
points
400
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admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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111
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 10
Comprehension:Every day a widget supplier supplies widgets from the warehouse (W) to four locations - Ahmednagar (A), Bikrampore (B), Chitrachak (C), and Deccan Park (D)....
admin
3.7k
points
244
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admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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112
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 11
Comprehension:The two plots below show data for four companies code-named $A, B, C$, and $D$ over three years - $2019, 2020$, and $2021$.The first plot shows the revenues...
admin
3.7k
points
226
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admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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113
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 12
Comprehension:The two plots below show data for four companies code-named $A, B, C$, and $D$ over three years - $2019, 2020$, and $2021$.The first plot shows the revenues...
admin
3.7k
points
337
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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0
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114
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 13
Comprehension:The two plots below show data for four companies code-named $A, B, C$, and $D$ over three years - $2019, 2020$, and $2021$.The first plot shows the revenues...
admin
3.7k
points
306
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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115
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 14
Comprehension:The two plots below show data for four companies code-named $A, B, C$, and $D$ over three years - $2019, 2020$, and $2021$.The first plot shows the revenues...
admin
3.7k
points
175
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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0
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116
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 15
Comprehension:The two plots below show data for four companies code-named $A, B, C$, and $D$ over three years - $2019, 2020$, and $2021$.The first plot shows the revenues...
admin
3.7k
points
203
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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117
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 16
Comprehension:A speciality supermarket sells $320$ products. Each of these products was either a cosmetic product or a nutrition product. Each of these products was also ...
admin
3.7k
points
248
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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118
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 17
Comprehension:A speciality supermarket sells $320$ products. Each of these products was either a cosmetic product or a nutrition product. Each of these products was also ...
admin
3.7k
points
403
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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119
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 18
Comprehension:A speciality supermarket sells $320$ products. Each of these products was either a cosmetic product or a nutrition product. Each of these products was also ...
admin
3.7k
points
216
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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0
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0
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120
CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 19
Comprehension:A speciality supermarket sells $320$ products. Each of these products was either a cosmetic product or a nutrition product. Each of these products was also ...
admin
3.7k
points
162
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set2
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